Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid.

An input string is valid if:

1. Open brackets must be closed by the same type of brackets.
2. Open brackets must be closed in the correct order.
3. Every close bracket has a corresponding open bracket of the same type.

 

Example 1:

Example 2:

Example 3:

Example 4:

Example 5:

 

Constraints:

• 1 <= s.length <= 104
• s consists of parentheses only '()[]{}'.